457901725632 has 224 divisors, whose sum is σ = 1315182446592. Its totient is φ = 139767607296.

The previous prime is 457901725627. The next prime is 457901725639. The reversal of 457901725632 is 236527109754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457901725639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262106583 + ... + 262108329.

It is an arithmetic number, because the mean of its divisors is an integer number (5871350208).

Almost surely, 2^457901725632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457901725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657591223296).

457901725632 is an abundant number, since it is smaller than the sum of its proper divisors (857280720960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457901725632 is a wasteful number, since it uses less digits than its factorization.

457901725632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 457901725632 in words is "four hundred fifty-seven billion, nine hundred one million, seven hundred twenty-five thousand, six hundred thirty-two".